460404561316000 has 384 divisors, whose sum is σ = 1305874136286720. Its totient is φ = 156264496128000.

The previous prime is 460404561315953. The next prime is 460404561316001. The reversal of 460404561316000 is 613165404064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (460404561316001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1500058554 + ... + 1500365446.

It is an arithmetic number, because the mean of its divisors is an integer number (3400713896580).

Almost surely, 2^{460404561316000} is an apocalyptic number.

460404561316000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460404561316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652937068143360).

460404561316000 is an abundant number, since it is smaller than the sum of its proper divisors (845469574970720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460404561316000 is a wasteful number, since it uses less digits than its factorization.

460404561316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307465 (or 307447 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 460404561316000 in words is "four hundred sixty trillion, four hundred four billion, five hundred sixty-one million, three hundred sixteen thousand".